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Finding the Fourth Proportional to 412,219.12, 568,832.70 and 230,900.38

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Solution

The fourth proportional to 412,219.12, 568,832.70 and 230,900.38 is: 318,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,219.12 : 568,832.70 = 230,900.38 : x
  2. Step 2: Convert to fraction form
    412,219.12/568,832.70 = 230,900.38/x
  3. Step 3: Cross multiply
    412,219.12x = 568,832.70 × 230,900.38
  4. Step 4: Simplify right side
    412,219.12x = 131,343,686,586.43
  5. Step 5: Solve for x
    x = 131,343,686,586.43/412,219.12
  6. Step 6: Final answer
    x = 318,625.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.